Formulas 1 Area = LW Perimeter = 2L + 2W Area = 2bh Circumference = 2πr = πd Area = π�� 2 Volume = LWH Surface area= 2LW+ 2LH+2WH Volume= π�� 2 ℎ =π�� 2 ℎ + 2πrℎ Surface area= Volume= 3 ���� 3 4 Surface area=4π�� 2 Polynomials Special Products Difference of two squares ( �� + �� )2 = �� 2 + 2���� + ��2 ( �� − �� )2 = �� 2 − 2���� + ��2 ( x – a )( x + a ) = �� 2 − ��2 Squares of binomials or perfect squares ( �� + �� )3 = �� 3 + 3���� 3 + 3��2 �� + ��3 (
Premium Real number Elementary algebra Addition
MATHEMATICS CURRICULUM FOR SECONDARY COURSE RATIONALE Mathematics is an important discipline of learning at the secondary stage. It helps the learners in acquiring decision- making ability through its applications to real life both in familiar and unfamiliar situations. It predominately contributes to the development of precision‚ rational and analytical thinking‚ reasoning and scientific temper. One of the basic aims of teaching Mathematics at the Secondary stage is to inculcate the skill
Premium Angle Real number Triangle
are three main methods for separating the regional field: graphical‚ spectral and polynomial fitting (Nettleton‚ 1976). In this study the quadratic polynomial used to calculate the regional field‚ than we direct subtract it from the bouguare value to achieve residual anomaly‚ which theoretically are related to the local geological structures (Fig. 5). The principle of the polynomial fitting method is that a polynomial surface is fitted to the measured data points‚ and any perversion of the measurement
Premium Management Psychology Marketing
PROPERTIES OF DISCRETE TIME FOURIER TRANSFORMS ABSTRACT In mathematics‚ the discrete Fourier transform (DFT) converts a finite list of equally-spaced samples of a function into the list of coefficients of a finite combination of complex sinusoids‚ ordered by their frequencies‚ that has those same sample values. It can be said to convert the sampled function from its original domain (often time or position along a line) to the frequency domain. INTRODUCTION The input samples are complex numbers
Premium Fourier analysis Discrete Fourier transform Fourier transform
Chapter 1 Introduction 1.1 Introduction The Company. Boston Scientific (NYSE: BSX) is a worldwide developer‚ manufacturer and marketer of medical devices with approximately 16‚000 employees and revenue of $5.6 billion in 2004. Boston Scientific ’s mission is to improve the quality of patient care and the productivity of health care delivery through the development and advocacy of less invasive medical devices and procedures. Boston Scientific ’s history began in the late 1960s
Premium Continuum mechanics
1. A statement of equality between two expressions. 2. An equation in two or more variables. 3. A polynomial with more than three terms. 4. A monomial that does not contain variable. 5. Is a special type of sequence in which the reciprocal of each term forms an arithmetic sequence. 6. Is a statement indicating the equality of two ratios. 7. A polynomial with exactly two terms. 8. A pair of numbers in which the order is specified. 9. A comparison between two quantities
Premium Euclidean geometry Analytic geometry Cartesian coordinate system
problems: on the di culty of predicting automata. Pages 60 69 of: Proceedings of the 3rd I.E.E.E. Conference on Structure in Complexity Theory. Pitt‚ L.‚ & Warmuth‚ M. K. 1989 . The minimum consistency DFA problem cannot be approximated within any polynomial. Pages 421 432 of: Proceedings of the 21st ACM Symposium on the Theory of Computing. ACM. Trakhtenbrot‚ B.‚ & Barzdin‚ Ya. 1973 . Finite Automata: Behavior and Synthesis. Amsterdam: North Holland Publishing Company. Valiant‚ L. 1984 . A Theory
Premium
hypothesis (type 1 error). But the easiest way to see that the model is not the best for this data is when you assign trend lines to the data. Linear fit is ok‚ but you can see that the data is too spread out. Polynomial to the 3rd order is a better fit‚ but we can do better. Polynomial to the 2nd order is the best fit‚ the data is pretty “snug”. Attached you will find the regression analysis for all three models with the 2nd order model having the best results with a high R2 and a very significant
Premium Regression analysis Normal distribution Errors and residuals in statistics
Factoring: Find out the GREATEST COMMON FACTOR of each term and factor it out. Using Grouping: Sometimes‚ a polynomial will have no common factor for all the terms. Instead‚ we can group together the terms which have a common factor. When you use the Grouping Method: * When there is no factor common to all terms * When there is an even number of terms. Example: The polynomial x3+3x2−6x−18 has no single factor that is common to every term. However‚ we notice that if we group together
Premium Algebra Multiplication Arithmetic
Ass.Prof.Dr. Thamer Information theory 4th class in Communications Error Detection and Correction 1. Types of Errors Whenever bits flow from one point to another‚ they are subject to unpredictable changes because of interference. This interference can change the shape of the signal. In a single-bit error‚ a 0 is changed to a 1 or a 1 to a 0. The term single-bit error means that only 1 bit of a given data unit (such as a byte‚ character‚ or packet) is changed from 1 to 0 or from 0 to 1. The term
Premium Hamming code Error detection and correction Information theory